Traffic Jam and the Prisoner's Dilemma

Traffic jams are an integral part of roads in India -- it does not matter if you are at Dalhousie Square in the heart of Calcutta or you are at Panagarh on the Grand Trunk Road -- and when you are stuck you have a lot of time to think on your hands. You begin with cursing people around about their lack of civic sense and road etiquette but eventually you resign yourself to the situation and start thinking about the problem analytically. Could there be a game theoretic approach to the problem ? To begin with let us define a general traffic jam a little more precisely so that the problem is more tractable and amenable to a mathematical analysis. Anybody who has lived in IIT Kharagpur for any length of time knows that just outside the campus there is a railway level crossing (actually two) which are a reliable source of traffic jams on a regular and repeatable basis. Every day, 365 days a year, the gates close two or three times every hour and each time when they reopen there is a a...